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Finding the Third Proportional to 4,766.98 and 7,252.98

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Solution

The third proportional to 4,766.98 and 7,252.98 is: 11,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.98 : 7,252.98 = 7,252.98 : x
  2. Step 2: Convert to fraction form
    4,766.98/7,252.98 = 7,252.98/x
  3. Step 3: Cross multiply
    4,766.98x = 7,252.98 × 7,252.98
  4. Step 4: Simplify right side
    4,766.98x = 52,605,725.68
  5. Step 5: Solve for x
    x = 52,605,725.68/4,766.98
  6. Step 6: Final answer
    x = 11,035.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.